3 papers
math.AP2025
Existence of nested polygonal vortex patches for the generalized SQG equation
Edison Cuba, Lucas C. F. Ferreira
This paper investigates time-periodic solutions of both the surface quasi-geostrophic (SQG) equation and its generalized form (gSQG) within the more singular regime, focusing on th…
math.AP2024
Existence of Vortex Patch Equilibria for Active Scalars Equations
Edison Cuba
In this paper, we investigate the existence of a finite number of vortex patches for the generalized surface quasi-geostrophic (gSQG) equations with , focusing on conf…
math.AP2024
Existence of stationary vortex patches for the gSQG in bounded domains
Vladimir Angulo-Castillo, Edison Cuba, Lucas C. F. Ferreira
In this paper we show the existence of time-periodic vortex patches for the generalized surface quasi-geostrophic equation within a bounded domain. This construction is carried out…